


Surface splines


a__ (gif)
Definition
properties and
applications;
(short text)
properties of surface splines


b__
Basic shapes
represented as surface splines
(Shaded, BBnet, Isophotes, Gauss curvature, Mean curvature);
blends
of basic shapes with surface splines
(Gauss curvature)
A single surface spline representing
cubes and cylinders.


Notes
on the next three figures


(figure) More examples of
C1surface splines


(figure)
Blend ratios
for modifying surface splines


(figure) Curvature distribution and interpolation of a part of a
cube.


A
flattened cube.
The left top is not a disk (even though
it is almost circular); the right top is an exact disk.
Each figure is one surface spline.


Here is a
pretty cat.
(wow graphics can be great fun)
Gaussian and Mean curvature on
"the cat"
(prediction of
Gauss
curvature and of
Mean
curvature)
for_tim
for_leif
vw_shaded
vw_patches
vw_gauss_curvature
A fancy car model
(1)
(2)
(3)
Implicit surface blending :

some csg blends
cyclide (exact)
vs
cyclide (implicit Oh^4 approximation)
and a
cyclide blend


Sponsors: NSF, Intel, SDRC ... via
Grants:
1992: Research Initiation Award:
Improving the shape of surfaces by perturbation
1994: National Young Investigator Award;
Splines for modeling freeform surfaces.